Re: Cantor Confusion
- From: Andy Smith <Andy@xxxxxxxxxxxxxxxxxxxx>
- Date: Wed, 17 Jan 2007 07:24:34 GMT
David Marcus writes
Yes, thanks.
Definition: A function f is continuous at a if lim_{x->a} f(x) = f(a).
For the function f(x) = sin(1/x), lim_{x->0} f(x) does not exist. So,
regardless of how we define f(0), f won't be continuous. That proves
that the discontinuity is essential.
--
Andy Smith
.
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